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Volumn 88, Issue 3, 1997, Pages 316-353

Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients

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EID: 0000832917     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.3026     Document Type: Article
Times cited : (21)

References (19)
  • 1
    • 0001814507 scopus 로고
    • On polynomials on a circular arc
    • Akhiezer N. I. On polynomials on a circular arc. Soviet Math. Dokl. 1:1960;31-34.
    • (1960) Soviet Math. Dokl. , vol.1 , pp. 31-34
    • Akhiezer, N.I.1
  • 2
    • 0002769690 scopus 로고
    • Sur une classe de polynomes orthogonaux
    • Bernstein S. N. Sur une classe de polynomes orthogonaux. Comm. Kharkov Math. Soc. 4:1930;79-93.
    • (1930) Comm. Kharkov Math. Soc. , vol.4 , pp. 79-93
    • Bernstein, S.N.1
  • 3
    • 0001412449 scopus 로고
    • Orthogonal polynomials with asymptotically periodic recurrence coefficients
    • Geronimo J. S., Van Assche W. Orthogonal polynomials with asymptotically periodic recurrence coefficients. J. Approx. Theory. 46:1986;251-283.
    • (1986) J. Approx. Theory , vol.46 , pp. 251-283
    • Geronimo, J.S.1    Van Assche, W.2
  • 4
    • 0000196089 scopus 로고
    • On the character of the solutions of the moment problem in the case of a limitperiodic associated fractions
    • Geronimus Ya. L. On the character of the solutions of the moment problem in the case of a limitperiodic associated fractions. Izv. Akad. Nauk SSSR Ser. Mat. 5:1941;203-210.
    • (1941) Izv. Akad. Nauk SSSR Ser. Mat. , vol.5 , pp. 203-210
    • Geronimus Ya., L.1
  • 5
    • 0002553431 scopus 로고
    • On polynomials orthogonal on a circle, on the trigonometric moment problem, and on the associated functions of Caratheodory's and Schur's type
    • Geronimus Ya. L. On polynomials orthogonal on a circle, on the trigonometric moment problem, and on the associated functions of Caratheodory's and Schur's type. Mat. Sb. 57:1944;99-130.
    • (1944) Mat. Sb. , vol.57 , pp. 99-130
    • Geronimus Ya., L.1
  • 6
    • 0039488884 scopus 로고
    • On asymptotic formulae for orthogonal polynomials
    • Geronimus Ya. L. On asymptotic formulae for orthogonal polynomials. Izv. Akad. Nauk SSSR Ser. Mat. 12:1948;3-14.
    • (1948) Izv. Akad. Nauk SSSR Ser. Mat. , vol.12 , pp. 3-14
    • Geronimus Ya., L.1
  • 7
    • 0001790765 scopus 로고
    • Polynomials orthogonal on a circle and their applications
    • Geronimus Ya. L. Polynomials orthogonal on a circle and their applications. Amer. Math. Soc. Trans. 3:1962;1-78.
    • (1962) Amer. Math. Soc. Trans. , vol.3 , pp. 1-78
    • Geronimus Ya., L.1
  • 9
    • 0000933094 scopus 로고
    • Perturbation of orthogonal polynomials on an arc of the unit circle
    • Golinskii L., Nevai P., Van Assche W. Perturbation of orthogonal polynomials on an arc of the unit circle. J. Approx. Theory. 83:1995;392-422.
    • (1995) J. Approx. Theory , vol.83 , pp. 392-422
    • Golinskii, L.1    Nevai, P.2    Van Assche, W.3
  • 10
    • 0011680525 scopus 로고
    • Szegö's extremum problem on the unit circle
    • Maté A., Nevai P., Totik V. Szegö's extremum problem on the unit circle. Ann. of Math. (2). 134:1991;433-453.
    • (1991) Ann. of Math. (2) , vol.134 , pp. 433-453
    • Maté, A.1    Nevai, P.2    Totik, V.3
  • 11
    • 38249017040 scopus 로고
    • On the distribution of zeros of polynomials orthogonal on the unit circle
    • Mhaskar H. N., Saff E. B. On the distribution of zeros of polynomials orthogonal on the unit circle. J. Approx. Theory. 63:1990;30-38.
    • (1990) J. Approx. Theory , vol.63 , pp. 30-38
    • Mhaskar, H.N.1    Saff, E.B.2
  • 12
    • 0001786022 scopus 로고
    • Orthogonal polynomials and their zeros
    • Nevai P., Totik V. Orthogonal polynomials and their zeros. Acta Sci. Math. 53:1989;99-104.
    • (1989) Acta Sci. Math. , vol.53 , pp. 99-104
    • Nevai, P.1    Totik, V.2
  • 13
    • 0000548215 scopus 로고
    • On Bernstein-Szegö orthogonal polynomials on several intervals. II. Orthogonal polynomials with periodic recurrence coefficients
    • Peherstorfer F. On Bernstein-Szegö orthogonal polynomials on several intervals. II. Orthogonal polynomials with periodic recurrence coefficients. J. Approx. Theory. 64:1991;123-161.
    • (1991) J. Approx. Theory , vol.64 , pp. 123-161
    • Peherstorfer, F.1
  • 14
    • 0000507578 scopus 로고
    • On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on Gauss-Kronrod quadrature formulas
    • Peherstorfer F. On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on Gauss-Kronrod quadrature formulas. J. Approx. Theory. 70:1992;156-190.
    • (1992) J. Approx. Theory , vol.70 , pp. 156-190
    • Peherstorfer, F.1
  • 15
    • 0030537374 scopus 로고    scopus 로고
    • A special class of polynomials orthogonal on the unit including the associated polynomials
    • Peherstorfer F. A special class of polynomials orthogonal on the unit including the associated polynomials. Const. Approx. 12:1996;161-186.
    • (1996) Const. Approx. , vol.12 , pp. 161-186
    • Peherstorfer, F.1
  • 16
    • 21344469422 scopus 로고    scopus 로고
    • Comparative asymptotics for perturbed orthogonal polynomials
    • Peherstorfer F., Steinbauer R. Comparative asymptotics for perturbed orthogonal polynomials. Amer. Math. Soc. 348:1996;1459-1486.
    • (1996) Amer. Math. Soc. , vol.348 , pp. 1459-1486
    • Peherstorfer, F.1    Steinbauer, R.2
  • 17
    • 0030147261 scopus 로고    scopus 로고
    • Orthogonal polynomials on arcs of the unit circle, I
    • Peherstorfer F., Steinbauer R. Orthogonal polynomials on arcs of the unit circle, I. J. Approx. Theory. 85:1996;140-184.
    • (1996) J. Approx. Theory , vol.85 , pp. 140-184
    • Peherstorfer, F.1    Steinbauer, R.2
  • 18
    • 0030268946 scopus 로고    scopus 로고
    • Orthogonal polynomials on arcs of the unit circle. II. Orthogonal polynomials with periodic reflection coefficients
    • Peherstorfer F., Steinbauer R. Orthogonal polynomials on arcs of the unit circle. II. Orthogonal polynomials with periodic reflection coefficients. J. Approx. Theory. 87:1996;60-102.
    • (1996) J. Approx. Theory , vol.87 , pp. 60-102
    • Peherstorfer, F.1    Steinbauer, R.2
  • 19
    • 0003217929 scopus 로고
    • Orthogonal Polynomials
    • Providence: Amer. Math. Soc.
    • Szegö G. Orthogonal Polynomials. Amer. Soc. Colloq. Publ. Vol. 23:1975;Amer. Math. Soc. Providence.
    • (1975) Amer. Soc. Colloq. Publ. , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.